ACT math scores for a particular year are approximately normally distributed
with a mean of 28 and a standard deviation of 2.4.
Part A: What is the probability that a randomly selected score is greater than 30.4?
Select a Value
Part B: What is the probability that a randomly selected score is less than 32.8?
Select a Value
Part C: What is the probability that a randomly selected score is between 25.6 and 32.8?
Select a Value

Step-by-step explanation:

a. Given the mean is 28 and  the standard deviation is 2.4

-Let X be the score of any random selection from the population.

-The probability that a randomly selected score is greater than 30.4:

Hence, the probability that the score is greater than 30.4 is 0.1587

b. The probability that a randomly selected score is less than 32.8 given mean =28 and the standard deviation is 2.4:

Hence, the probability that a random score is less than 32.8 is 0.9773

c. The probability that a random selection has a score of between 25.6 and 32.8.

-Given the mean=28 and sd=2.4, the probability is calculated as follows:

Hence, the probability that a random selection has a score between 25.6 and 32.8 is 0.8186

0.5?

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